Article ID Journal Published Year Pages File Type
1709367 Applied Mathematics Letters 2009 4 Pages PDF
Abstract

We study a semilinear hyperbolic problem, written as a second-order evolution equation in an infinite-dimensional Hilbert space. Assuming existence of the global attractor, we estimate its fractal dimension explicitly in terms of the data. Despite its elementary character, our technique gives reasonable results. Notably, we require no additional regularity, although nonlinear damping is allowed.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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